%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG124+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:36:08 PM UTC 2026
% Result : ContradictoryAxioms 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 34 ( 14 ~; 9 |; 10 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ( aElementOf0(X0,xI)
& X0 != sz00 )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f50,axiom,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
fof(f51,axiom,
xr != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2673) ).
fof(f55,axiom,
aElementOf0(xr,xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2729) ).
fof(f117,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f118,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ) ),
inference(flattening,[],[f117]) ).
fof(f222,plain,
! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(cnf_transformation,[],[f118]) ).
fof(f231,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr ),
inference(cnf_transformation,[],[f50]) ).
fof(f235,plain,
sz00 != xr,
inference(cnf_transformation,[],[f51]) ).
fof(f239,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[],[f55]) ).
fof(f256,plain,
iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(forward_subsumption_resolution,[],[f231,f235]) ).
fof(f516,plain,
( ~ aElementOf0(xr,xI)
| sz00 = xr ),
inference(resolution,[],[f222,f256]) ).
fof(f517,plain,
sz00 = xr,
inference(forward_subsumption_resolution,[],[f516,f239]) ).
fof(f518,plain,
$false,
inference(forward_subsumption_resolution,[],[f517,f235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG124+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n011.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 23:22:16 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % (2876047)Will run a generic schedule for satisfiability detection.
% 0.19/0.50 % (2876056)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2331990887:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.50 % (2876053)% WARNING: option uhcvi not known.
% 0.19/0.50 % (2876055)dis+10_1_sil=32000:sp=arity:random_seed=2904067888:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.50 % (2876057)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2752393810:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.50 % (2876052)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3735874732_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.50 % (2876058)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1091950743:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.50 % (2876054)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=95760109:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.50 % (2876053)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4014422572:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.50 % (2876056) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2876047-2876056"...
% 0.19/0.50 % (2876056)...printing done.
% 0.19/0.50 % (2876056)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status ContradictoryAxioms for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (2876056)------------------------------
% 0.19/0.50 % (2876056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.50 % (2876056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.50 % (2876056)CaDiCaL version: 2.1.3
% 0.19/0.50 % (2876056)Termination reason: Refutation
% 0.19/0.50 % (2876056)Time elapsed: 0.007 s
% 0.19/0.50 % (2876056)Peak memory usage: 12 MB
% 0.19/0.50 % (2876056)Instructions burned: 19 (million)
% 0.19/0.50 % (2876047)Success in time 0.043 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------